Local Smoothness of Graph Signals
Local Smoothness of Graph Signals
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DOI：
10.1155/2019/3208569
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发表时间：
2019-01-01
影响因子：
--
通讯作者：
Sejdic, Ervin
中科院分区：
文献类型：
--
作者：
Dakovic, Milos;Stankovic, Ljubisa;Sejdic, Ervin
分析图上信号的顶点变化谱内容挑战了顶点不变性的假设，并需要引入顶点频率表示作为图信号分析的新工具。引入并定义了变顶点图信号的一个重要参数--局部光滑度。给出了该参数的基本性质。利用局部光滑性，引入了一种理想的顶点频率分布。局部平滑度估计基于几种形式的顶点频率分布来执行，包括图形频谱图、图形Rihaczek分布和具有减少的干扰的顶点频率分布。所提出的理论是通过数值例子说明。
Analysis of vertex-varying spectral content of signals on graphs challenges the assumption of vertex invariance and requires the introduction of vertex-frequency representations as a new tool for graph signal analysis. Local smoothness, an important parameter of vertex-varying graph signals, is introduced and defined in this paper. Basic properties of this parameter are given. By using the local smoothness, an ideal vertex-frequency distribution is introduced. The local smoothness estimation is performed based on several forms of the vertex-frequency distributions, including the graph spectrogram, the graph Rihaczek distribution, and a vertex-frequency distribution with reduced interferences. The presented theory is illustrated through numerical examples.